SOLUTION
The Henderson Hasselbalch equation is written as:
$$pH = pKa + log frac{[A^-]}{[HA]}$$
where
* $pKa$ is the negative logarithm of the acid dissociation constant ($Ka$)
* $[A^-]$ is the molar concentration of the conjugate base
* $[HA]$ is the molar concentration of the weak acid
For this problem, we have the following information:
* $pKa = -log(Ka) = -log(4.5 times 10^{-4}) = 3.35$
* $[A^-] = 0.100 M$ (concentration of nitrite ion, $NO_2^-$)
* $[HA] = 0.085 M$ (concentration of nitrous acid, $HNO_2$)
Plugging these values into the Henderson Hasselbalch equation, we get:
$$pH = 3.35 + log frac{0.100 M}{0.085 M} = 3.46$$
Therefore, the pH of the buffer solution is 3.46.